140.7 is what percent of 345 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 345 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 345, so we can write it down as 100%=345.
4. We know, that x% equals 140.7 of the output value, so we can write it down as x%=140.7.
5. Now we have two simple equations:
1) 100%=345
2) x%=140.7
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=345/140.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.7 is what percent of 345

100%/x%=345/140.7
(100/x)*x=(345/140.7)*x       - we multiply both sides of the equation by x
100=2.4520255863539*x       - we divide both sides of the equation by (2.4520255863539) to get x
100/2.4520255863539=x
40.782608695652=x
x=40.782608695652

now we have:
140.7 is 40.782608695652% of 345